# Find an equation of a polynomial function of degree 5 with integer coefficients with zeros 0, -2, and 1/2

117,946 results

### algebra

Find an equation of a polynomial function of degree 5 with integer coefficients with zeros 0, -2, and 1/2.

### math

Find an equation of a polynomial function of degree 5 with integer coefficients with zeros 0, -2, and 1/2.

### calculus--please help!!

I have two questions that I don't understand and need help with. 1. information is given about a polynomial f(x) whose coefficients are real numbers. Find the remaining zerosof f. degree 4, zeros i;9+i 2. form a polynomial f(x) with real coefficients having the given degree ...

### Polynomial Function

Could you please check my answers? Find an nth degree polynomial function with real coefficients satisfying the given conditions. 1. n=3; 3 and i are zeros; f(2)=20 -I got: f(x)=-4^3+12x^2-4x+12 3.n=3;4 and i zeros;f(-3)=60 -I got:f(x)=6x^3+24x^2+6x+24

### Algebra

Suppose that a polynomial function of degree 5 with rational coefficients has 6, −2+4i, 4−sqrt2 as zeros. Find the other zeros. Thank you!

### Polynomial Function

Could you help me with the following problem, I don't understand how to do it. Find an nth degree polynomial function with real coefficients satisfying the given conditions. 1. n=3; 3 and i are zeros; f(2)=20

### Precalculus

Suppose that a polynomial function of degree 4 with rational coefficients has i and (-3 + square root of 3)as zeros find the other zeros

### Pre-Calculus

Find a polynomial of degree 4 that has a integer coefficients and zeros 1,-1,2 and 1/2 (one half)?

### Precalculus

Suppose that a polynomial function of degree 4 with rational coefficients has i and (-3 + square root of 3)as zeros find the other zeros show work please

### Pre-Calculus

Find a polynomial with integer coefficients that satisfies the given conditions. P has degree 2 and zeros 2 + i and 2 − i.

### math (precalc)

Find a polynomial with integer coefficients that satisfies the given conditions. R has degree 4 and zeros 3 − 4i and 5, with 5 a zero of multiplicity 2.

### Algebra

Can someone please explain how to do these problems. 1)write a polynomial function of least degree with intregal coefficients whose zeros include 4 and 2i. 2)list all of the possible rational zeros of f(x)= 3x^3-2x^2+7x+6. 3)Find all of the rational zeros of f(x)= 4x^3-3x^2-...

### Math

Use the given information about a polynomial whose coefficients are real numbers to find the remaining zeros of the polynomial. Degree: 6 Zeros: -6 + 13i^3, -8 + s^2i, -3 - 4i

### college algebra

form a polynomial f(x) with real coefficients having the given degree and zeros degree 4 zeros 5+3i;3 multiplicity 2 enter the polynomial f(x)=a?()

### Math

Find a polynomial function with integer coefficients that has the given zeros. 0,0,4,1+i Please explain!! I am very confused.

### pre-calculus

form a polynomial f(x) with real coefficients having the given degree and zeros. degree 5; zeros -7; -i;-9+i enter the polynomial. f(x)=a(?)

### algebra

form a polynomial f(x) with real coefficients having the given degree and zeros. Degree 4; zeros:-3 +5i; 2 multiplicity 2 enter the polynomial f(x)=a(?)

### Math

find a third degree polynomial function with real coefficients -2+i and -4 zeros

### Algebra

Could you please check my answers? Find an nth degree polynomial function with real coefficients satisfying the given conditions. 1. n=3; 3 and i are zeros; f(2)=20 -I got: f(x)=-4^3+12x^2-4x+12 3.n=3;4 and i zeros;f(-3)=60 -I got:f(x)=6x^3+24x^2+6x+24

### Algebra

Suppose that a polynomial function of degree 5 with rational coefficients has 0 (with multiplicity 2), 6, and –2 + 3i as zeros. Find the remaining zero. A. –6 B. –2 – 3i C. 0 D. 2 + 3i

### Algebra

Find the polynomial function P of the lowest possible degree, having real coefficients, with the given zeros. 3+2i, -2 and 1

### algebra

Find a polynomial function of least degree with real coefficients satisfying the given properties. zeros -3, 0, and 4 f(1) =10

### Form a polynomial f(x) from coefficient and it's 0

Form a polynomial, f(x), with real coefficients having the given degree and zeros. Degree: 4; zeros: 6i and 7i I completely don't know what to do with this problem... if someone can solve and give a good explanation, I'd appreciate it. Thanks.

### College Algebra

Find a fourth-degree polynomial with integer coefficients that has zeros 4i and −1, with −1 a zero of multiplicity 2. (Use x for the variable.) can somebody help me do this?

### Math Help Please

Suppose that a polynomial function of degree 5 with rational coefficients has 0 (with multiplicity 2), 3, and 1 –2i as zeros. Find the remaining zero. A. –2 B. –1 – 2i C. 0 D. 1 + 2i

### Algebra

Find a polynomial function of lowest degree with rational coefficients that has the given numbers as some of its zeros. 2-i,sqrt2 f(x)= ? Thanks!

### Algebra

Find a polynomial function of lowest degree with rational coefficients that has the given numbers as some of its zeros. sqrt of 3, 4 Thanks!

### PreCalculus

Suppose that a polynomial function of degree 5 with rational coefficients has the given numbers as zeros. Find the other zero( s): -1, radical 3, 11/3

### pre-ap Algebra 2

write a polynomial function f of least degree that has the rational coefficients, a leading coefficient of 1, and the given zeros. Given zeros: -2,2,-1,3, sqrt 11

### Algebra

Information is given about a polynomial f(x) whose coefficients are real numbers. Find the remaining zeros of f. Degree 5; zeros: 9, 3+5i, -9i

### Calculus

Form a polynomial, f(x) with real coefficients having the given degree and zeros. Degree: 4 ; Zeros: 4i and 5i Really need help! don't know where to start.

### calculus

form a polynomial with real coefficients have given degree and zeros. degree 5, zeros 9, -i; 8+i please show work

### Algebra ll

Please help!! I do not understand any of this!! Form a polynomial f(x) with real coefficients having the given degree and zeros. Degree 4; zeros: 2, multiplicity 2; 3i

### college algebra

Form a polynomial, f(x), with real coefficients having the given degree and zeros. Degree 3; zeros: 1 + i and -10

### College algebra

Form a polynomial f(x) with the real coefficients having the given degree and zeros. Degree 5; Zeros: -3; -i; -6+i f(x)=a( )

### College Algebra

Form a polynomial f(x) with real coefficients having the given degree and zeros. Degree 5; Zeros: -3; -i; -6+i F(x)=a ( )

### College Algebra! help!

Form a polynomial f(x) with the real coefficients having the given degree and zeros. Degree 5; Zeros: -4; -i; -2+i f(x)=a( )

### Algebra

Determine a polynomial function of degree 3 with real coefficients whose zeros are ƒ{2, 1+i .

### Algebra

Form a polynomial f(x) with real coefficients having the given degree and zeros. Degree 5; zeros:1;-i; -7+1

### Algebra

Form a polynomial f(x) with real coefficients having the given degree and zeros. Degree: 4; zeros: -1, 2, and 1-2i

### Algebra

Form a polynomial f(x) with real coefficients having the given degree and zeros. Degree: 4; zeros: -1, 2, and 1-2i

### Algebra

Find a polynomial function of lowest degree with rational coefficients that has the given numbers as some of its zeros. sqrt of 3 and 4i disregard the first post, thanks!

### algebra

write a fourth degree polynomial function with real coefficients that has -3,1/5, and 4+i as zeros and the y intercept of (0,5)

### Algebra

Form a third degree polynomial function with real coefficients such that 2+i and -5 are zeros. f(x)= ?

### Algebra

Form a third degree polynomial function with real coefficients such that -7 + i and -9 are zeros

### Algebra ll

Please help!! I do not understand any of this!! Information is given about a polynomial f(x) whose coefficients are real numbers. Find the remaining zeros of f. Degree 4; zeros: 8,-6-i

### Algebra ll

Please help!! I do not understand any of this!! Information is given about a polynomial f(x) whose coefficients are real numbers. Find the remaining zeros of f. Degree 3; zeros: 8, -6-i

### pre-calculus

form a polynomial f(x) with real coefficients having the given degree and zeros. degree: 4; zeros: -1, 2, and 1-2i. I got an exam tomorrow, i would appreciate any kind of help, thank you.

### Algebra 2

write a polynomial function of least degree with integral coefficients whose zeros include 4 and 2i

### Math

A polynomial function with rational coefficients has the following zeros. Find all additional zeros. 2, -2 + ã10

### Form a polynomial f(x)

Form a polynomial f(x) with the real coefficients having the given degree and zeros. Degree 5; Zeros: -3; -i; -6+i f(x)=a( )

### Form a polynomial f(x)

Form a polynomial f(x) with real coefficients having the given degree and zeros. Degree 5; Zeros: -3; -i; -6+i F(x)=a ( )

### Form a polynomial

Form a polynomial f(x) with real coefficients having the given degree and zeros Degree 5; zeros: -8; -i; -8+i

### pre cal

Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in standard form. 3, -13, and 5 + 4i Urgently need help

### Algebra 2

Write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 1, and the given zeros 2, 2i, and 4-sqrt 6

### pre-calculus

information is given about the polynomial f(x) whose coefficients are real numbers. find the real zeros of f: degree 4; zeros: i, 3+i

### Pre-calculus

Sorry i wrote the last question wrong, it was suppose to be written as: information is given about the polynomial f(x) whose coefficients are real numbers. find the remaining zeros of f: degree 4; zeros: i, 3+i

### Math

Find a polynomial of degree 3 with real coefficients and zeros of -3, -1, and 4, for which f(-2) = 24.

### college algebra

form a polynomial f (x) with real coefficients having the given degree and zeros. degree 5; zeros 5; -i; -6+-i f(x)= a(?) Please show step by step work.

### Math-college

Can you please help with this one. Find an nth-degree polynomial function with real coefficients satisfying the given conditions. n=4 2 i and 4 i are zeros; f(-1)=85 f(x)= (Type an expression using x as the variable. Simplify your answer.)

### poloynomial function

Write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 1, and the given zeros. 1) -2, -1, 1 2) i, 4 3) i, 2 - √3 4) 1, 4, 1 + √2

### Polynomial Fucntion Problem

Could you help me with the following problem, I don't understand how to do it. Am I suppose to use the linear factorization theorem? Find an nth degree polynomial function with real coefficients satisfying the given conditions. 1. n=3; 3 and i are zeros; f(2)=20 my answer ...

### Algebra

Find a polynomial f(x) of degree 3 with real coefficients and the following zeros. -1,3+i f(x)=

### Algebra

Find a polynomial function of lowest degree with rational coefficients that has the given numbers as some of its zeros. 3-i,sqrt2 f(x)=??

### AMath

Write a polynomial function of minimum degree in standard form with real coefficients whose zeros include those listed 2, 3 and i.

### pre-calculus math

A polynomial f(x) with real coefficients and leading coefficient 1 has the given zeros and degree. Express f(x) as a product of linear and/or quadratic polynomials with real coefficients that are irreducible over . 3, −3 − 2i; degree 3

### Math- Help Please

Find a polynominal of degree 4 that has integer coefficients and zeros 4,-4,5 and 1/2.

### Math

find a polynomial of least degree(having real coefficients) with zeros: 5, -2, 2i

### algebra

Use the given information about a polynomial whose coefficients are real numbers to find the remaining zeros. degree: 6 Zeros: -8 + 11x(can't put this sign in looks like ii with slash over)i, -7 + 17i, 16 - isqrt 2

### college algebra--need help please!!

information is given about a polynomial f(x)whose coefficients are real numbers. Find the remaining zeros of f. degree:5, zeros: -6, 6-i please help and show all work.

### college algebra--need help please!!

information is given about a polynomial f(x)whose coefficients are real numbers. Find the remaining zeros of f. degree:5, zeros: -6, 6-i please help and show all work.

### college algebra--need help please!!

information is given about a polynomial f(x)whose coefficients are real numbers. Find the remaining zeros of f. degree:5, zeros: -6, 6-i please help and show all work.

### ALGEBRA

Find a degree 3 polynomial with real coefficients having zeros 2 and 4-3i and a lead coefficient of 1.

### pre calculus

use given info about a polynomial whose coefficients are real numbers to find the remaining zeros. Degree: 6 so I know there's at least 6 zeros:-5-isqrt7, 13 + 2ni, -5 - 3i (where n is a real number) any ideas??????

### Pre-Calculus

Find a polynomial function with integer coefficients with degree 4, one root 3+radical2, and another root 4-3i. I got x^4-14x^3+80x^2-206x+175 I'm I correct?

### algebra 3

Find a polynomial of lowest degree with only real coefficients and having the given zeros. -2+i, -2-i, 3, -3

### help maaaaath

Find the largest possible number of distinct integer values {x_1,x_2,…,x_n}, such that for a fixed reducible degree 4 polynomial with integer coefficients, |f(x_i)| is prime for all i?

### College Algebra

OOPS I got the zeros wrong in the last post...please show work. Find a polynomial of the specified degree that has the given zeros Degree 4: zeros -2,0,2,4

### Pre cal

Fine a third degree polynomial function f(x) with real coefficients that has 4 and 2i are zeros and such that f(-1) =-50 4 21 -2i (x-4)(x-2i)(x+2i) (x-4)(x2+4) x3-16+4x-4x2 (x3-4x2+4x-16) -50=a(-1-4-4-16) -50=.25 a=2 Not understanding, please help

### Math - Fundamental Theorem

We can actually use the Zeros Theorem and the Conjugate Zeros Theorem together to conclude that an odd-degree polynomial with real coefficients must have atleast one real root (since the non-real roots must come in conjugate pairs). But how can we get the same conclusion by ...

### heeeeeeeeelp math

Find the largest possible number of distinct integer values {x_1,x_2,…,x_n}, such that for a fixed reducible degree 4 polynomial with integer coefficients, |f(x_i)| is prime for all i?

### plsheeeeeeeeeeelp math

Find the largest possible number of distinct integer values {x_1,x_2,…,x_n}, such that for a fixed reducible degree 4 polynomial with integer coefficients, |f(x_i)| is prime for all i?

### heeeelp math

Find the largest possible number of distinct integer values {x_1,x_2,…,x_n}, such that for a fixed reducible degree 4 polynomial with integer coefficients, |f(x_i)| is prime for all i?

### algebra

What is the largest value of d, such that for some degree d polynomial f(x) with integer coefficients, |f(x)|=1024 for more than d integer values of x?

### Math - Int Trig

Form a polynomial f(x) with real coefficients having the given degree and zeros 21) Degree: 4, zeroes: 2i and -3i 22) Degree: 3, Zeroes i and -10

### Pre Calculus

1. Find all rational zeros of the polynomial. Then determine any irrational zeros, and factor the polynomial completely. 3x^4-11x^3+5x^2+3x 2. Find the polynomial with leading coefficient 1 that has a degree of 4, a zero of multiplicity 2 at x=1 and a zero at x=2+i

### College Algebra

Find a polynomial of the specified degree that has the given zeros: Degree 4: zeros -1,1,3,5 (I know you would do... (x-(-1)) (x-1) (x-3) (x-5) but I don't know what to do after that. I know when it's a degree of 3 you just use FOIL and leave the (x-5) as is, but how do you do...

### Precalculus

Write a polynomial function of minimum degree in standard form with real coefficients whose zeros and their multiplicities include those listed. 2(multiplicity 2), -4(multiplicity 3)

### Precalculus

Write a polynomial function of minimum degree in standard form with real coefficients whose zeros and their multiplicities include those listed. 3(multiplicity 2), 5+i(multiplicity 1)

### algebra

Form a polynomial f(x) with real coefficents having the given degree and zeros Degree 5; Zeros: 2; -i;-7+i Enter the polynomial f(x)=a(____) type expression using x as the variable

### Finding polynomial from zeros

How to find the polynomial degree 2 and zeros are (1+i) & (1-i) I would like to see the steps to solve this. Thanks. If those are the roots, then the following are factors: (x-1-i)(x-1+i)

### math

Find a polynomial f(x) with leading coefficient 1 and having the given degree and zeros. Each polynomial should be expanded from factored form, simplified and written in descending order of exponents on the variable. For example: (x+5)(x-2) should be given as the answer x^2 + ...

### College Algebra

Find a polynomial function f(x), with real coefficients, that has 1 and 3+2i as zeros, and such that f(-1)=2 (Multiply out and simplify your answer)

### maths

f(x) is a polynomial with integer coefficients and degree at most 10. There are N distinct integer values for which f(n)=2, and M distinct integer values for which f(m)=−2. What is the maximum possible value of NM?

### Math Analysis

A quartic polynomial Q(x) with real coefficients has zeros 2+i and 3-2i, find the other two zeros.

### College Algebra

I'm supposed to find a polynomial with specified Zeros. This is all the question told me: Degree: 4 Zeros: -2, 0, 2, 4 I know how to do these problems when it's a degree of 3, but not 4.

### College Algebra

Find a Quadratic polynomial function with real coefficients satisfying the given conditions. -4 and 3 are zeros; f(1) = -30 HELP. I have no idea.

### find the polynomial

degree 4 zeros i & (1+i) constant term 12 How do I start this problem. Thanks A degree four polynomial will have the form (x^4 +... x + c), where c is a constant. You will need to generate an equation that has the above form, using c=12. Solve for the roots [i & (1+i)].

### Precalculus

Which of the following cannot be the number of nonreal zeros of a polynomial of degree 5 with real coefficients? A. 2 B. 0 C. 3 D. 4 E. None of the above